Finding the Fourth Proportional to 10,204.49, 14,082.18 and 5,728.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.49 : 14,082.18 = 5,728.25 : x
2. Step 2: Convert to fraction form
   10,204.49/14,082.18 = 5,728.25/x
3. Step 3: Cross multiply
   10,204.49x = 14,082.18 × 5,728.25
4. Step 4: Simplify right side
   10,204.49x = 80,666,177.17
5. Step 5: Solve for x
   x = 80,666,177.17/10,204.49
6. Step 6: Final answer
   x = 7,904.97